library(readr)
ejemplo_regresion <- read_csv("C:/Users/abyme/Downloads/ejemplo_regresion.csv")
head(ejemplo_regresion,n=5)## # A tibble: 5 × 3
## X1 X2 Y
## <dbl> <dbl> <dbl>
## 1 3.92 7298 0.75
## 2 3.61 6855 0.71
## 3 3.32 6636 0.66
## 4 3.07 6506 0.61
## 5 3.06 6450 0.7#Correr el Modelo
library(stargazer)
options(scipen=99999)
modelo_lineal<-lm(formula = Y~X1+X2,data = ejemplo_regresion)
#Usando summary
summary(modelo_lineal)##
## Call:
## lm(formula = Y ~ X1 + X2, data = ejemplo_regresion)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.085090 -0.039102 -0.003341 0.030236 0.105692
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.56449677 0.07939598 19.705 0.00000000000000182 ***
## X1 0.23719747 0.05555937 4.269 0.000313 ***
## X2 -0.00024908 0.00003205 -7.772 0.00000009508790794 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.0533 on 22 degrees of freedom
## Multiple R-squared: 0.8653, Adjusted R-squared: 0.8531
## F-statistic: 70.66 on 2 and 22 DF, p-value: 0.000000000265#Usando stargerzer
stargazer(modelo_lineal,title = "Modelo de Regresion",type = "html",digits = 6)##
## <table style="text-align:center"><caption><strong>Modelo de Regresion</strong></caption>
## <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"></td><td><em>Dependent variable:</em></td></tr>
## <tr><td></td><td colspan="1" style="border-bottom: 1px solid black"></td></tr>
## <tr><td style="text-align:left"></td><td>Y</td></tr>
## <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">X1</td><td>0.237197<sup>***</sup></td></tr>
## <tr><td style="text-align:left"></td><td>(0.055559)</td></tr>
## <tr><td style="text-align:left"></td><td></td></tr>
## <tr><td style="text-align:left">X2</td><td>-0.000249<sup>***</sup></td></tr>
## <tr><td style="text-align:left"></td><td>(0.000032)</td></tr>
## <tr><td style="text-align:left"></td><td></td></tr>
## <tr><td style="text-align:left">Constant</td><td>1.564497<sup>***</sup></td></tr>
## <tr><td style="text-align:left"></td><td>(0.079396)</td></tr>
## <tr><td style="text-align:left"></td><td></td></tr>
## <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">Observations</td><td>25</td></tr>
## <tr><td style="text-align:left">R<sup>2</sup></td><td>0.865296</td></tr>
## <tr><td style="text-align:left">Adjusted R<sup>2</sup></td><td>0.853050</td></tr>
## <tr><td style="text-align:left">Residual Std. Error</td><td>0.053302 (df = 22)</td></tr>
## <tr><td style="text-align:left">F Statistic</td><td>70.660570<sup>***</sup> (df = 2; 22)</td></tr>
## <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"><em>Note:</em></td><td style="text-align:right"><sup>*</sup>p<0.1; <sup>**</sup>p<0.05; <sup>***</sup>p<0.01</td></tr>
## </table>#Matriz P & M
mat_X<-model.matrix(modelo_lineal)
#Matriz X'X
mat_XX<-t(mat_X)%*%mat_X
print(mat_XX)## (Intercept) X1 X2
## (Intercept) 25.00 96.3400 181083.0
## X1 96.34 379.2928 710932.3
## X2 181083.00 710932.3200 1335796275.0#Matriz A
solve(mat_XX)%*%t(mat_X)->mat_A
print(mat_A)## 1 2 3 4
## (Intercept) 0.02671735022 0.153664997103 0.20482274232 0.2285864559
## X1 0.03989544121 -0.035658471121 -0.22158535899 -0.4165400478
## X2 -0.00001939144 0.000003278674 0.00009513298 0.0001955722
## 5 6 7 8
## (Intercept) 0.2471098101 0.267955249 0.28819900106 0.30212601230
## X1 -0.3943792324 -0.311747228 -0.18304735502 -0.11221023312
## X2 0.0001812249 0.000134385 0.00006311916 0.00002350957
## 9 10 11 12
## (Intercept) 0.31258460121 0.31154683710 0.31097827251 0.3192380551
## X1 0.05631978369 0.05455055123 0.08183742528 0.2183626148
## X2 -0.00006759587 -0.00006651133 -0.00008095003 -0.0001547247
## 13 14 15 16
## (Intercept) 0.2647959132 0.2313887316 0.1593708433 0.0942621738
## X1 0.2008967572 0.2569672798 0.1718624834 0.2021429065
## X2 -0.0001379163 -0.0001631348 -0.0001079146 -0.0001150357
## 17 18 19 20
## (Intercept) 0.02940926916 -0.0310791444 -0.1506869905 -0.20132399727
## X1 0.18576571786 0.2521791772 0.1989653933 0.18798672131
## X2 -0.00009736917 -0.0001243516 -0.0000795279 -0.00006669616
## 21 22 23 24
## (Intercept) -0.31184773131 -0.4081610633 -0.4936128503 -0.556949583
## X1 0.19735364115 -0.0798709381 -0.1219474069 -0.211089593
## X2 -0.00005642085 0.0001043654 0.0001385483 0.000194718
## 25
## (Intercept) -0.5990949550
## X1 -0.2170100301
## X2 0.0002036863#Matriz P
mat_X%*%mat_A->mat_P
print(mat_P)## 1 2 3 4 5 6
## 1 0.04158873 0.03781156 0.030488603361 0.02303563 0.02372260 0.026648158
## 2 0.03781156 0.04741323 0.057036155708 0.06552455 0.06569752 0.063757225
## 3 0.03048860 0.05703616 0.100461787788 0.14349084 0.14037925 0.124733596
## 4 0.02303563 0.06552455 0.143490840487 0.22220146 0.21541482 0.185200348
## 5 0.02372260 0.06569752 0.140379247349 0.21541482 0.20921001 0.180792258
## 6 0.02664816 0.06375722 0.124733596489 0.18520035 0.18079226 0.158754414
## 7 0.03129701 0.06007990 0.099340539362 0.13689689 0.13519269 0.123010600
## 8 0.03383474 0.05820518 0.085597548049 0.11059386 0.11039943 0.103660458
## 9 0.04004349 0.05252933 0.051000087406 0.04570760 0.04892978 0.054990366
## 10 0.03998532 0.05253917 0.051285486338 0.04629432 0.04947345 0.055393522
## 11 0.04100766 0.05149892 0.045494122364 0.03555827 0.03927310 0.047250570
## 12 0.04603893 0.04688955 0.017449089513 -0.01702736 -0.01054640 0.007798511
## 13 0.04579828 0.04461719 0.016560797775 -0.01573428 -0.01001993 0.006644885
## 14 0.04814241 0.04075129 0.001957309835 -0.04107698 -0.03451110 -0.013832267
## 15 0.04551090 0.04003970 0.013832884525 -0.01510384 -0.01077924 0.002993784
## 16 0.04713214 0.03542863 0.002000000567 -0.03358109 -0.02916052 -0.013531666
## 17 0.04701070 0.03255787 0.000009655854 -0.03377378 -0.03017877 -0.016216760
## 18 0.04994515 0.02685737 -0.019041586737 -0.06592067 -0.06147877 -0.042900936
## 19 0.04886272 0.02241431 -0.017869047918 -0.05727177 -0.05480786 -0.041042251
## 20 0.04883537 0.02010589 -0.019803802406 -0.05812998 -0.05627486 -0.043674112
## 21 0.05001919 0.01383400 -0.031042393219 -0.07304609 -0.07186006 -0.059284179
## 22 0.04040327 0.01892940 0.019235961206 0.02563620 0.02059045 0.011587364
## 23 0.03947851 0.01590533 0.020928007495 0.03340359 0.02686436 0.014116670
## 24 0.03663083 0.01580855 0.034381300046 0.06184036 0.05304706 0.033146114
## 25 0.03672810 0.01376819 0.032093808761 0.05986710 0.05063077 0.030003329
## 7 8 9 10 11
## 1 0.03129701139 0.033834744 0.040043491 0.039985317 0.04100766
## 2 0.06007990282 0.058205176 0.052529329 0.052539165 0.05149892
## 3 0.09934053936 0.085597548 0.051000087 0.051285486 0.04549412
## 4 0.13689688710 0.110593862 0.045707605 0.046294321 0.03555827
## 5 0.13519268759 0.110399429 0.048929776 0.049473450 0.03927310
## 6 0.12301060008 0.103660458 0.054990366 0.055393522 0.04725057
## 7 0.10255981308 0.091640109 0.062920604 0.063109962 0.05818661
## 8 0.09164010880 0.085371329 0.067629278 0.067699807 0.06454509
## 9 0.06292060445 0.067629278 0.076032081 0.075829293 0.07691052
## 10 0.06310996194 0.067699807 0.075829293 0.075629759 0.07666767
## 11 0.05818661374 0.064545086 0.076910524 0.076667674 0.07839425
## 12 0.03489541088 0.050145832 0.083691329 0.083227155 0.08838551
## 13 0.03142371410 0.045330207 0.076232442 0.075818693 0.08060435
## 14 0.01741104587 0.034827185 0.074473737 0.073984332 0.08022514
## 15 0.02384912892 0.035463862 0.061990628 0.061666884 0.06585153
## 16 0.01059383705 0.023921981 0.055229525 0.054884418 0.05991338
## 17 0.00567036382 0.017684986 0.046531179 0.046239071 0.05093572
## 18 -0.01345506367 0.002635740 0.041865244 0.041492189 0.04793840
## 19 -0.01844176322 -0.006266712 0.024852000 0.024613416 0.02986663
## 20 -0.02260777078 -0.011340942 0.018136668 0.017936579 0.02297592
## 21 -0.03763050635 -0.026183041 0.004885754 0.004716492 0.01012931
## 22 0.00005184751 -0.006863930 -0.018703991 -0.018390895 -0.01984774
## 23 -0.00278871124 -0.012765433 -0.031030084 -0.030614439 -0.03302593
## 24 0.00541674406 -0.010589838 -0.042611712 -0.042027558 -0.04660778
## 25 0.00137699268 -0.015176724 -0.048065153 -0.047454094 -0.05213122
## 12 13 14 15 16
## 1 0.046038933 0.045798283 0.04814241 0.045510898 0.047132139
## 2 0.046889547 0.044617195 0.04075129 0.040039703 0.035428634
## 3 0.017449090 0.016560798 0.00195731 0.013832885 0.002000001
## 4 -0.017027358 -0.015734277 -0.04107698 -0.015103836 -0.033581091
## 5 -0.010546403 -0.010019933 -0.03451110 -0.010779242 -0.029160523
## 6 0.007798511 0.006644885 -0.01383227 0.002993784 -0.013531666
## 7 0.034895411 0.031423714 0.01741105 0.023849129 0.010593837
## 8 0.050145832 0.045330207 0.03482719 0.035463862 0.023921981
## 9 0.083691329 0.076232442 0.07447374 0.061990628 0.055229525
## 10 0.083227155 0.075818693 0.07398433 0.061666884 0.054884418
## 11 0.088385511 0.080604350 0.08022514 0.065851527 0.059913384
## 12 0.115534854 0.105617598 0.11232580 0.087330333 0.085271677
## 13 0.105617598 0.097278159 0.10400832 0.081978444 0.081081798
## 14 0.112325805 0.104008320 0.11428940 0.089004701 0.090844454
## 15 0.087330333 0.081978444 0.08900470 0.072353813 0.073852397
## 16 0.085271677 0.081081798 0.09084445 0.073852397 0.078290810
## 17 0.074306310 0.071933225 0.08195660 0.068160746 0.074117541
## 18 0.079726880 0.077890979 0.09248418 0.075462692 0.085310455
## 19 0.055095904 0.056936697 0.07079203 0.061413561 0.073364592
## 20 0.046880620 0.050114337 0.06426903 0.057248734 0.070440106
## 21 0.035333920 0.041135721 0.05770913 0.053303532 0.070211887
## 22 -0.029396034 -0.017313040 -0.01374752 0.005809294 0.017310860
## 23 -0.047770704 -0.033003454 -0.03018006 -0.004854438 0.008026809
## 24 -0.072491687 -0.054913777 -0.05571007 -0.021705137 -0.009557036
## 25 -0.078713032 -0.060021365 -0.06039810 -0.024674895 -0.011396989
## 17 18 19 20 21
## 1 0.047010697578 0.04994515 0.048862716 0.04883537 0.050019190
## 2 0.032557866316 0.02685737 0.022414305 0.02010589 0.013833997
## 3 0.000009655854 -0.01904159 -0.017869048 -0.01980380 -0.031042393
## 4 -0.033773781814 -0.06592067 -0.057271769 -0.05812998 -0.073046093
## 5 -0.030178765604 -0.06147877 -0.054807860 -0.05627486 -0.071860062
## 6 -0.016216759663 -0.04290094 -0.041042251 -0.04367411 -0.059284179
## 7 0.005670363823 -0.01345506 -0.018441763 -0.02260777 -0.037630506
## 8 0.017684986411 0.00263574 -0.006266712 -0.01134094 -0.026183041
## 9 0.046531178759 0.04186524 0.024852000 0.01813667 0.004885754
## 10 0.046239071256 0.04149219 0.024613416 0.01793658 0.004716492
## 11 0.050935720283 0.04793840 0.029866626 0.02297592 0.010129313
## 12 0.074306310263 0.07972688 0.055095904 0.04688062 0.035333920
## 13 0.071933225016 0.07789098 0.056936697 0.05011434 0.041135721
## 14 0.081956596034 0.09248418 0.070792028 0.06426903 0.057709131
## 15 0.068160746198 0.07546269 0.061413561 0.05724873 0.053303532
## 16 0.074117541153 0.08531046 0.073364592 0.07044011 0.070211887
## 17 0.072051849395 0.08416583 0.076401216 0.07509919 0.077986031
## 18 0.084165830892 0.10232508 0.094798376 0.09433034 0.101153521
## 19 0.076401216200 0.09479838 0.096014597 0.09873020 0.111008077
## 20 0.075099191797 0.09433034 0.098730196 0.10269757 0.117430507
## 21 0.077986031345 0.10115352 0.111008077 0.11743051 0.137942637
## 22 0.031449222454 0.03992847 0.067329782 0.07826476 0.100211409
## 23 0.025204299479 0.03359584 0.067425330 0.08066855 0.106460997
## 24 0.010614210316 0.01526132 0.056453392 0.07188940 0.099800950
## 25 0.010083496262 0.01562898 0.059326591 0.07577771 0.105773207
## 22 23 24 25
## 1 0.04040326768 0.039478511 0.036630829 0.036728099
## 2 0.01892940334 0.015905328 0.015808550 0.013768192
## 3 0.01923596121 0.020928007 0.034381300 0.032093809
## 4 0.02563619873 0.033403586 0.061840365 0.059867102
## 5 0.02059044786 0.026864357 0.053047055 0.050630771
## 6 0.01158736361 0.014116670 0.033146114 0.030003329
## 7 0.00005184751 -0.002788711 0.005416744 0.001376993
## 8 -0.00686392951 -0.012765433 -0.010589838 -0.015176724
## 9 -0.01870399135 -0.031030084 -0.042611712 -0.048065153
## 10 -0.01839089526 -0.030614439 -0.042027558 -0.047454094
## 11 -0.01984773515 -0.033025927 -0.046607784 -0.052131218
## 12 -0.02939603421 -0.047770704 -0.072491687 -0.078713032
## 13 -0.01731304027 -0.033003454 -0.054913777 -0.060021365
## 14 -0.01374751729 -0.030180062 -0.055710066 -0.060398099
## 15 0.00580929400 -0.004854438 -0.021705137 -0.024674895
## 16 0.01731085962 0.008026809 -0.009557036 -0.011396989
## 17 0.03144922245 0.025204299 0.010614210 0.010083496
## 18 0.03992846777 0.033595835 0.015261315 0.015628983
## 19 0.06732978186 0.067425330 0.056453392 0.059326591
## 20 0.07826475682 0.080668548 0.071889405 0.075777709
## 21 0.10021140894 0.106460997 0.099800950 0.105773207
## 22 0.13578289652 0.155593202 0.173616472 0.182532291
## 23 0.15559320238 0.180141211 0.203749335 0.214471225
## 24 0.17361647158 0.203749335 0.236134518 0.248424042
## 25 0.18253229116 0.214471225 0.248424042 0.261545731#Matriz M
diag(25)-mat_P->mat_M
print(mat_M)## 1 2 3 4 5 6
## 1 0.95841127 -0.03781156 -0.030488603361 -0.02303563 -0.02372260 -0.026648158
## 2 -0.03781156 0.95258677 -0.057036155708 -0.06552455 -0.06569752 -0.063757225
## 3 -0.03048860 -0.05703616 0.899538212212 -0.14349084 -0.14037925 -0.124733596
## 4 -0.02303563 -0.06552455 -0.143490840487 0.77779854 -0.21541482 -0.185200348
## 5 -0.02372260 -0.06569752 -0.140379247349 -0.21541482 0.79078999 -0.180792258
## 6 -0.02664816 -0.06375722 -0.124733596489 -0.18520035 -0.18079226 0.841245586
## 7 -0.03129701 -0.06007990 -0.099340539362 -0.13689689 -0.13519269 -0.123010600
## 8 -0.03383474 -0.05820518 -0.085597548049 -0.11059386 -0.11039943 -0.103660458
## 9 -0.04004349 -0.05252933 -0.051000087406 -0.04570760 -0.04892978 -0.054990366
## 10 -0.03998532 -0.05253917 -0.051285486338 -0.04629432 -0.04947345 -0.055393522
## 11 -0.04100766 -0.05149892 -0.045494122364 -0.03555827 -0.03927310 -0.047250570
## 12 -0.04603893 -0.04688955 -0.017449089513 0.01702736 0.01054640 -0.007798511
## 13 -0.04579828 -0.04461719 -0.016560797775 0.01573428 0.01001993 -0.006644885
## 14 -0.04814241 -0.04075129 -0.001957309835 0.04107698 0.03451110 0.013832267
## 15 -0.04551090 -0.04003970 -0.013832884525 0.01510384 0.01077924 -0.002993784
## 16 -0.04713214 -0.03542863 -0.002000000567 0.03358109 0.02916052 0.013531666
## 17 -0.04701070 -0.03255787 -0.000009655854 0.03377378 0.03017877 0.016216760
## 18 -0.04994515 -0.02685737 0.019041586737 0.06592067 0.06147877 0.042900936
## 19 -0.04886272 -0.02241431 0.017869047918 0.05727177 0.05480786 0.041042251
## 20 -0.04883537 -0.02010589 0.019803802406 0.05812998 0.05627486 0.043674112
## 21 -0.05001919 -0.01383400 0.031042393219 0.07304609 0.07186006 0.059284179
## 22 -0.04040327 -0.01892940 -0.019235961206 -0.02563620 -0.02059045 -0.011587364
## 23 -0.03947851 -0.01590533 -0.020928007495 -0.03340359 -0.02686436 -0.014116670
## 24 -0.03663083 -0.01580855 -0.034381300046 -0.06184036 -0.05304706 -0.033146114
## 25 -0.03672810 -0.01376819 -0.032093808761 -0.05986710 -0.05063077 -0.030003329
## 7 8 9 10 11
## 1 -0.03129701139 -0.033834744 -0.040043491 -0.039985317 -0.04100766
## 2 -0.06007990282 -0.058205176 -0.052529329 -0.052539165 -0.05149892
## 3 -0.09934053936 -0.085597548 -0.051000087 -0.051285486 -0.04549412
## 4 -0.13689688710 -0.110593862 -0.045707605 -0.046294321 -0.03555827
## 5 -0.13519268759 -0.110399429 -0.048929776 -0.049473450 -0.03927310
## 6 -0.12301060008 -0.103660458 -0.054990366 -0.055393522 -0.04725057
## 7 0.89744018692 -0.091640109 -0.062920604 -0.063109962 -0.05818661
## 8 -0.09164010880 0.914628671 -0.067629278 -0.067699807 -0.06454509
## 9 -0.06292060445 -0.067629278 0.923967919 -0.075829293 -0.07691052
## 10 -0.06310996194 -0.067699807 -0.075829293 0.924370241 -0.07666767
## 11 -0.05818661374 -0.064545086 -0.076910524 -0.076667674 0.92160575
## 12 -0.03489541088 -0.050145832 -0.083691329 -0.083227155 -0.08838551
## 13 -0.03142371410 -0.045330207 -0.076232442 -0.075818693 -0.08060435
## 14 -0.01741104587 -0.034827185 -0.074473737 -0.073984332 -0.08022514
## 15 -0.02384912892 -0.035463862 -0.061990628 -0.061666884 -0.06585153
## 16 -0.01059383705 -0.023921981 -0.055229525 -0.054884418 -0.05991338
## 17 -0.00567036382 -0.017684986 -0.046531179 -0.046239071 -0.05093572
## 18 0.01345506367 -0.002635740 -0.041865244 -0.041492189 -0.04793840
## 19 0.01844176322 0.006266712 -0.024852000 -0.024613416 -0.02986663
## 20 0.02260777078 0.011340942 -0.018136668 -0.017936579 -0.02297592
## 21 0.03763050635 0.026183041 -0.004885754 -0.004716492 -0.01012931
## 22 -0.00005184751 0.006863930 0.018703991 0.018390895 0.01984774
## 23 0.00278871124 0.012765433 0.031030084 0.030614439 0.03302593
## 24 -0.00541674406 0.010589838 0.042611712 0.042027558 0.04660778
## 25 -0.00137699268 0.015176724 0.048065153 0.047454094 0.05213122
## 12 13 14 15 16
## 1 -0.046038933 -0.045798283 -0.04814241 -0.045510898 -0.047132139
## 2 -0.046889547 -0.044617195 -0.04075129 -0.040039703 -0.035428634
## 3 -0.017449090 -0.016560798 -0.00195731 -0.013832885 -0.002000001
## 4 0.017027358 0.015734277 0.04107698 0.015103836 0.033581091
## 5 0.010546403 0.010019933 0.03451110 0.010779242 0.029160523
## 6 -0.007798511 -0.006644885 0.01383227 -0.002993784 0.013531666
## 7 -0.034895411 -0.031423714 -0.01741105 -0.023849129 -0.010593837
## 8 -0.050145832 -0.045330207 -0.03482719 -0.035463862 -0.023921981
## 9 -0.083691329 -0.076232442 -0.07447374 -0.061990628 -0.055229525
## 10 -0.083227155 -0.075818693 -0.07398433 -0.061666884 -0.054884418
## 11 -0.088385511 -0.080604350 -0.08022514 -0.065851527 -0.059913384
## 12 0.884465146 -0.105617598 -0.11232580 -0.087330333 -0.085271677
## 13 -0.105617598 0.902721841 -0.10400832 -0.081978444 -0.081081798
## 14 -0.112325805 -0.104008320 0.88571060 -0.089004701 -0.090844454
## 15 -0.087330333 -0.081978444 -0.08900470 0.927646187 -0.073852397
## 16 -0.085271677 -0.081081798 -0.09084445 -0.073852397 0.921709190
## 17 -0.074306310 -0.071933225 -0.08195660 -0.068160746 -0.074117541
## 18 -0.079726880 -0.077890979 -0.09248418 -0.075462692 -0.085310455
## 19 -0.055095904 -0.056936697 -0.07079203 -0.061413561 -0.073364592
## 20 -0.046880620 -0.050114337 -0.06426903 -0.057248734 -0.070440106
## 21 -0.035333920 -0.041135721 -0.05770913 -0.053303532 -0.070211887
## 22 0.029396034 0.017313040 0.01374752 -0.005809294 -0.017310860
## 23 0.047770704 0.033003454 0.03018006 0.004854438 -0.008026809
## 24 0.072491687 0.054913777 0.05571007 0.021705137 0.009557036
## 25 0.078713032 0.060021365 0.06039810 0.024674895 0.011396989
## 17 18 19 20 21
## 1 -0.047010697578 -0.04994515 -0.048862716 -0.04883537 -0.050019190
## 2 -0.032557866316 -0.02685737 -0.022414305 -0.02010589 -0.013833997
## 3 -0.000009655854 0.01904159 0.017869048 0.01980380 0.031042393
## 4 0.033773781814 0.06592067 0.057271769 0.05812998 0.073046093
## 5 0.030178765604 0.06147877 0.054807860 0.05627486 0.071860062
## 6 0.016216759663 0.04290094 0.041042251 0.04367411 0.059284179
## 7 -0.005670363823 0.01345506 0.018441763 0.02260777 0.037630506
## 8 -0.017684986411 -0.00263574 0.006266712 0.01134094 0.026183041
## 9 -0.046531178759 -0.04186524 -0.024852000 -0.01813667 -0.004885754
## 10 -0.046239071256 -0.04149219 -0.024613416 -0.01793658 -0.004716492
## 11 -0.050935720283 -0.04793840 -0.029866626 -0.02297592 -0.010129313
## 12 -0.074306310263 -0.07972688 -0.055095904 -0.04688062 -0.035333920
## 13 -0.071933225016 -0.07789098 -0.056936697 -0.05011434 -0.041135721
## 14 -0.081956596034 -0.09248418 -0.070792028 -0.06426903 -0.057709131
## 15 -0.068160746198 -0.07546269 -0.061413561 -0.05724873 -0.053303532
## 16 -0.074117541153 -0.08531046 -0.073364592 -0.07044011 -0.070211887
## 17 0.927948150605 -0.08416583 -0.076401216 -0.07509919 -0.077986031
## 18 -0.084165830892 0.89767492 -0.094798376 -0.09433034 -0.101153521
## 19 -0.076401216200 -0.09479838 0.903985403 -0.09873020 -0.111008077
## 20 -0.075099191797 -0.09433034 -0.098730196 0.89730243 -0.117430507
## 21 -0.077986031345 -0.10115352 -0.111008077 -0.11743051 0.862057363
## 22 -0.031449222454 -0.03992847 -0.067329782 -0.07826476 -0.100211409
## 23 -0.025204299479 -0.03359584 -0.067425330 -0.08066855 -0.106460997
## 24 -0.010614210316 -0.01526132 -0.056453392 -0.07188940 -0.099800950
## 25 -0.010083496262 -0.01562898 -0.059326591 -0.07577771 -0.105773207
## 22 23 24 25
## 1 -0.04040326768 -0.039478511 -0.036630829 -0.036728099
## 2 -0.01892940334 -0.015905328 -0.015808550 -0.013768192
## 3 -0.01923596121 -0.020928007 -0.034381300 -0.032093809
## 4 -0.02563619873 -0.033403586 -0.061840365 -0.059867102
## 5 -0.02059044786 -0.026864357 -0.053047055 -0.050630771
## 6 -0.01158736361 -0.014116670 -0.033146114 -0.030003329
## 7 -0.00005184751 0.002788711 -0.005416744 -0.001376993
## 8 0.00686392951 0.012765433 0.010589838 0.015176724
## 9 0.01870399135 0.031030084 0.042611712 0.048065153
## 10 0.01839089526 0.030614439 0.042027558 0.047454094
## 11 0.01984773515 0.033025927 0.046607784 0.052131218
## 12 0.02939603421 0.047770704 0.072491687 0.078713032
## 13 0.01731304027 0.033003454 0.054913777 0.060021365
## 14 0.01374751729 0.030180062 0.055710066 0.060398099
## 15 -0.00580929400 0.004854438 0.021705137 0.024674895
## 16 -0.01731085962 -0.008026809 0.009557036 0.011396989
## 17 -0.03144922245 -0.025204299 -0.010614210 -0.010083496
## 18 -0.03992846777 -0.033595835 -0.015261315 -0.015628983
## 19 -0.06732978186 -0.067425330 -0.056453392 -0.059326591
## 20 -0.07826475682 -0.080668548 -0.071889405 -0.075777709
## 21 -0.10021140894 -0.106460997 -0.099800950 -0.105773207
## 22 0.86421710348 -0.155593202 -0.173616472 -0.182532291
## 23 -0.15559320238 0.819858789 -0.203749335 -0.214471225
## 24 -0.17361647158 -0.203749335 0.763865482 -0.248424042
## 25 -0.18253229116 -0.214471225 -0.248424042 0.738454269